If A and B are two sets,
Question:
If A and B are two sets, then A ∩ (A ∪ B)' is equal to ____________.
Solution:
For sets A and B
A ∩ (A ⋃ B)'
= A ⋂ (A' ∩ B')
= (A ∩ A') ∩ B' (using associative properly of sets)
= ϕ ∩ B'
Hence, A ∩ (A ⋃ B)' = ϕ